Subgroups — C₁₃×#25082 #15711421

Order 3328.

1082 conjugacy classes of subgroups.

The subgroup lattice has 742 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×C₁₃×#467	C₂	1	1	yes	maximal, characteristic
2	C₂×C₁₃×#462	C₂	1	1	yes	maximal, characteristic, complemented
3	C₂×C₁₃×#451	C₂	1	1	yes	maximal, characteristic
4	C₂²×C₁₃×#103	C₂	1	1	yes	maximal, characteristic
5	C₁₃×#2434	C₂	1	1	yes	maximal, characteristic
6	C₁₃×#2360	C₂	1	1	yes	maximal, characteristic
7	C₁₃×#2068	C₂	1	1	yes	maximal, characteristic, complemented
8	C₁₃×#2056	C₂	1	1	yes	maximal, characteristic, complemented
9	C₁₃×#2043	C₂	1	1	yes	maximal, characteristic, complemented
10	C₁₃×#2016	C₂	1	1	yes	maximal, characteristic, complemented
11	C₁₃×#1981	C₂	1	1	yes	maximal, characteristic, complemented
12	C₁₃×#1928	C₂	1	1	yes	maximal, characteristic, complemented
13	C₁₃×#1878	C₂	1	1	yes	maximal, characteristic, complemented
14	C₁₃×#1872	C₂	1	1	yes	maximal, characteristic
15	C₁₃×#1850	C₂	1	1	yes	maximal, characteristic
16	C₂³×Q₈×C₁₃	C₂²	1	1	yes	characteristic
17	C₂²×C₁₃×Q₁₆	C₂²	1	1	yes	characteristic
18	C₂²×C₁₃×Q₁₆	C₂²	1	1	yes	characteristic
19	C₂²×C₁₃×Q₁₆	C₂²	1	1	yes	characteristic
20	C₂³×C₈×C₁₃	C₂²	1	1	yes	characteristic
21	C₂×C₁₃×C₄⋊Q₈	C₂²	1	1	yes	characteristic
22	C₂×C₁₃×C₄⋊Q₈	C₂²	1	1	yes	characteristic
23	C₂×C₁₃×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
24	C₂×C₁₃×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
25	C₂×C₄×Q₈×C₁₃	C₂²	1	1	yes	characteristic
26	C₂²×C₁₃×C₄⋊C₄	C₂²	1	1	yes	characteristic
27	C₁₃×#467	—	2	4	no	—
28	C₁₃×#462	—	2	4	no	—
29	C₁₃×#451	—	2	4	no	—
30	C₂×C₁₃×#107	C₂²	1	1	yes	characteristic
31	C₂×C₁₃×C₄⋊C₈	C₂²	1	1	yes	characteristic
32	C₂×C₁₃×C₄⋊C₈	C₂²	1	1	yes	characteristic
33	C₂×C₁₃×#103	—	2	4	no	—
34	C₂×C₁₃×#103	C₂²	1	1	yes	characteristic
35	C₂×C₁₃×#103	C₂²	1	1	yes	characteristic
36	C₂×C₁₃×#103	C₂²	1	1	yes	characteristic
37	C₂×C₁₃×#103	C₂²	1	1	yes	characteristic
38	C₂×C₁₃×#103	C₂²	1	1	yes	characteristic
39	C₂×C₁₃×#103	C₂²	1	1	yes	characteristic
40	C₂×C₁₃×#103	C₂²	1	1	yes	characteristic
41	C₂×C₁₃×#103	C₂²	1	1	yes	characteristic
42	C₂×C₁₃×#103	C₂²	1	1	yes	characteristic
43	C₂×C₁₃×#103	C₂²	1	1	yes	characteristic
44	C₂×C₁₃×C₂²⋊C₈	C₂²	1	1	yes	characteristic
45	C₁₃×#395	—	2	1	no	—
46	C₁₃×#395	—	2	1	no	—
47	C₁₃×#391	C₂²	1	1	yes	characteristic
48	C₁₃×#391	C₂²	1	1	yes	characteristic
49	C₁₃×#391	C₂²	1	1	yes	characteristic
50	C₁₃×#389	—	2	1	no	—
51	C₁₃×#389	C₂²	1	1	yes	characteristic
52	C₁₃×#387	—	2	1	no	—
53	C₁₃×#385	—	2	1	no	—
54	C₁₃×#385	—	2	1	no	—
55	C₁₃×#385	—	2	1	no	—
56	C₄×C₁₃×C₄⋊C₄	C₂²	1	1	yes	characteristic
57	C₄×C₁₃×C₂²⋊C₄	—	2	1	no	—
58	C₄×C₁₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic
59	C₁₃×#340	C₂²	1	1	yes	characteristic
60	C₁₃×#340	C₂²	1	1	yes	characteristic
61	C₁₃×#336	C₂²	1	1	yes	characteristic
62	C₁₃×#336	C₂²	1	1	yes	characteristic
63	C₂²×Q₈×C₁₃	—	2	1	no	—
64	C₂²×Q₈×C₁₃	—	2	2	no	—
65	C₂²×Q₈×C₁₃	—	2	2	no	—
66	C₂²×Q₈×C₁₃	—	2	2	no	—
67	C₂²×Q₈×C₁₃	—	2	2	no	—
68	C₂²×Q₈×C₁₃	—	4	1	no	—
69	C₂²×Q₈×C₁₃	—	4	1	no	—
70	C₂²×Q₈×C₁₃	C₂³	1	1	yes	characteristic
71	C₂²×Q₈×C₁₃	C₂³	1	1	yes	characteristic
72	C₂²×Q₈×C₁₃	C₂³	1	1	yes	characteristic
73	C₂²×Q₈×C₁₃	C₂³	1	1	yes	characteristic
74	C₂³×C₄×C₁₃	—	2	1	no	—
75	C₂³×C₄×C₁₃	—	2	1	no	—
76	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
77	C₂×C₁₃×Q₁₆	—	2	2	no	—
78	C₂×C₁₃×Q₁₆	—	2	2	no	—
79	C₂×C₁₃×Q₁₆	—	2	2	no	—
80	C₂×C₁₃×Q₁₆	—	2	2	no	—
81	C₂×C₁₃×Q₁₆	—	2	2	no	—
82	C₂×C₁₃×Q₁₆	—	2	2	no	—
83	C₂×C₁₃×Q₁₆	—	4	1	no	—
84	C₂×C₁₃×Q₁₆	—	4	1	no	—
85	C₂×C₁₃×Q₁₆	—	4	1	no	—
86	C₂²×C₈×C₁₃	—	2	2	no	—
87	C₂²×C₈×C₁₃	—	2	2	no	—
88	C₂²×C₈×C₁₃	—	4	1	no	—
89	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
90	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
91	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
92	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
93	C₁₃×C₄⋊Q₈	—	2	2	no	—
94	C₁₃×C₄⋊Q₈	—	2	2	no	—
95	C₁₃×C₄⋊Q₈	—	4	1	no	—
96	C₁₃×C₄⋊Q₈	—	4	1	no	—
97	C₁₃×C₂²⋊Q₈	—	2	2	no	—
98	C₁₃×C₂²⋊Q₈	—	2	2	no	—
99	C₁₃×C₂²⋊Q₈	—	2	2	no	—
100	C₁₃×C₂²⋊Q₈	D₄	1	4	yes	—
101	C₄×Q₈×C₁₃	—	2	2	no	—
102	C₄×Q₈×C₁₃	—	4	1	no	—
103	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
104	C₂×C₁₃×C₄⋊C₄	—	2	2	no	—
105	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
106	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
107	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
108	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
109	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
110	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
111	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
112	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
113	C₂×C₁₃×C₄⋊C₄	—	4	1	no	—
114	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
115	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
116	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
117	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
118	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
119	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
120	C₂×C₁₃×C₂²⋊C₄	D₄	1	1	yes	characteristic
121	C₂×C₁₃×C₂²⋊C₄	D₄	1	1	yes	characteristic
122	C₂×C₄²×C₁₃	—	2	1	no	—
123	C₂×C₄²×C₁₃	—	2	1	no	—
124	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
125	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
126	C₁₃×#107	—	2	2	no	—
127	C₁₃×C₄⋊C₈	—	2	2	no	—
128	C₁₃×C₄⋊C₈	—	4	1	no	—
129	C₁₃×#103	—	2	2	no	—
130	C₁₃×#103	—	2	2	no	—
131	C₁₃×#103	—	2	2	no	—
132	C₁₃×#103	—	2	2	no	—
133	C₁₃×#103	—	2	2	no	—
134	C₁₃×#103	—	2	2	no	—
135	C₁₃×#103	—	2	2	no	—
136	C₁₃×#103	—	2	2	no	—
137	C₁₃×#103	—	4	1	no	—
138	C₁₃×#103	D₄	1	4	yes	—
139	C₁₃×C₂²⋊C₈	—	2	2	no	—
140	C₁₃×#95	—	2	1	no	—
141	C₁₃×#95	—	2	1	no	—
142	C₁₃×#95	—	2	1	no	—
143	C₁₃×#95	—	2	1	no	—
144	C₁₃×#95	—	2	1	no	—
145	C₁₃×#95	—	2	1	no	—
146	C₁₃×#95	—	2	1	no	—
147	C₁₃×#95	—	2	1	no	—
148	C₁₃×#95	D₄	1	1	yes	characteristic
149	C₁₃×#95	D₄	1	1	yes	characteristic
150	#25082	C₁₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
151	C₂⁴×C₁₃	C₂×D₄	1	1	yes	characteristic
152	C₂×Q₈×C₁₃	—	2	1	no	—
153	C₂×Q₈×C₁₃	—	2	1	no	—
154	C₂×Q₈×C₁₃	—	2	1	no	—
155	C₂×Q₈×C₁₃	—	2	8	no	—
156	C₂×Q₈×C₁₃	—	2	1	no	—
157	C₂×Q₈×C₁₃	—	2	1	no	—
158	C₂×Q₈×C₁₃	—	2	1	no	—
159	C₂×Q₈×C₁₃	—	2	1	no	—
160	C₂×Q₈×C₁₃	—	2	1	no	—
161	C₂×Q₈×C₁₃	—	2	1	no	—
162	C₂×Q₈×C₁₃	—	2	1	no	—
163	C₂×Q₈×C₁₃	—	2	1	no	—
164	C₂×Q₈×C₁₃	—	2	1	no	—
165	C₂×Q₈×C₁₃	—	2	1	no	—
166	C₂×Q₈×C₁₃	—	2	1	no	—
167	C₂×Q₈×C₁₃	—	2	1	no	—
168	C₂×Q₈×C₁₃	—	2	1	no	—
169	C₂×Q₈×C₁₃	—	2	1	no	—
170	C₂×Q₈×C₁₃	—	2	1	no	—
171	C₂×Q₈×C₁₃	—	2	1	no	—
172	C₂×Q₈×C₁₃	—	2	1	no	—
173	C₂×Q₈×C₁₃	—	2	1	no	—
174	C₂×Q₈×C₁₃	—	4	2	no	—
175	C₂×Q₈×C₁₃	—	4	2	no	—
176	C₂×Q₈×C₁₃	—	4	4	no	—
177	C₂×Q₈×C₁₃	—	4	4	no	—
178	C₂×Q₈×C₁₃	—	4	4	no	—
179	C₂×Q₈×C₁₃	—	4	2	no	—
180	C₂×Q₈×C₁₃	C₂×D₄	1	2	yes	—
181	C₂×Q₈×C₁₃	C₂×D₄	1	2	yes	—
182	C₂×Q₈×C₁₃	#41	1	2	yes	—
183	C₂²×C₄×C₁₃	—	2	1	no	—
184	C₂²×C₄×C₁₃	—	2	1	no	—
185	C₂²×C₄×C₁₃	—	2	1	no	—
186	C₂²×C₄×C₁₃	—	2	1	no	—
187	C₂²×C₄×C₁₃	—	2	1	no	—
188	C₂²×C₄×C₁₃	—	2	1	no	—
189	C₂²×C₄×C₁₃	—	2	1	no	—
190	C₂²×C₄×C₁₃	—	2	1	no	—
191	C₂²×C₄×C₁₃	—	2	1	no	—
192	C₂²×C₄×C₁₃	—	2	1	no	—
193	C₂²×C₄×C₁₃	—	2	1	no	—
194	C₂²×C₄×C₁₃	—	2	1	no	—
195	C₂²×C₄×C₁₃	—	4	2	no	—
196	C₂²×C₄×C₁₃	—	4	2	no	—
197	C₂²×C₄×C₁₃	—	4	2	no	—
198	C₂²×C₄×C₁₃	—	4	2	no	—
199	C₂²×C₄×C₁₃	—	4	2	no	—
200	C₂²×C₄×C₁₃	—	8	1	no	—
201	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
202	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
203	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
204	C₂²×C₄×C₁₃	C₂×D₄	1	2	yes	—
205	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
206	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
207	C₂²×C₄×C₁₃	#41	1	2	yes	—
208	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
209	C₁₃×Q₁₆	—	4	4	no	—
210	C₁₃×Q₁₆	—	4	4	no	—
211	C₁₃×Q₁₆	—	4	4	no	—
212	C₂×C₈×C₁₃	—	2	1	no	—
213	C₂×C₈×C₁₃	—	2	1	no	—
214	C₂×C₈×C₁₃	—	2	1	no	—
215	C₂×C₈×C₁₃	—	2	1	no	—
216	C₂×C₈×C₁₃	—	2	1	no	—
217	C₂×C₈×C₁₃	—	2	1	no	—
218	C₂×C₈×C₁₃	—	2	1	no	—
219	C₂×C₈×C₁₃	—	2	1	no	—
220	C₂×C₈×C₁₃	—	2	1	no	—
221	C₂×C₈×C₁₃	—	2	1	no	—
222	C₂×C₈×C₁₃	—	2	1	no	—
223	C₂×C₈×C₁₃	—	4	4	no	—
224	C₂×C₈×C₁₃	C₂×D₄	1	2	yes	—
225	C₁₃×C₄⋊C₄	—	2	4	no	—
226	C₁₃×C₄⋊C₄	—	2	1	no	—
227	C₁₃×C₄⋊C₄	—	2	1	no	—
228	C₁₃×C₄⋊C₄	—	2	1	no	—
229	C₁₃×C₄⋊C₄	—	2	1	no	—
230	C₁₃×C₄⋊C₄	—	2	1	no	—
231	C₁₃×C₄⋊C₄	—	2	1	no	—
232	C₁₃×C₄⋊C₄	—	4	2	no	—
233	C₁₃×C₄⋊C₄	—	4	2	no	—
234	C₁₃×C₄⋊C₄	—	4	2	no	—
235	C₁₃×C₄⋊C₄	—	4	2	no	—
236	C₁₃×C₄⋊C₄	—	4	2	no	—
237	C₁₃×C₄⋊C₄	—	4	2	no	—
238	C₁₃×C₄⋊C₄	—	4	2	no	—
239	C₁₃×C₄⋊C₄	—	8	1	no	—
240	C₁₃×C₄⋊C₄	C₂×D₄	1	2	yes	—
241	C₁₃×C₄⋊C₄	C₂×D₄	1	2	yes	—
242	C₁₃×C₂²⋊C₄	—	2	4	no	—
243	C₁₃×C₂²⋊C₄	—	2	2	no	—
244	C₁₃×C₂²⋊C₄	—	4	2	no	—
245	C₁₃×C₂²⋊C₄	Q₁₆	1	4	yes	complemented
246	C₄²×C₁₃	—	2	1	no	—
247	C₄²×C₁₃	—	2	1	no	—
248	C₄²×C₁₃	—	2	1	no	—
249	C₄²×C₁₃	—	2	1	no	—
250	C₄²×C₁₃	—	4	2	no	—
251	C₄²×C₁₃	—	8	1	no	—
252	C₂×#467	C₂×C₁₃	1	1	yes	characteristic
253	C₂×#462	C₂×C₁₃	1	1	yes	characteristic, complemented
254	C₂×#451	C₂×C₁₃	1	1	yes	characteristic
255	C₂²×#103	C₂×C₁₃	1	1	yes	characteristic
256	#2434	C₂×C₁₃	1	1	yes	characteristic
257	#2360	C₂×C₁₃	1	1	yes	characteristic
258	#2068	C₂×C₁₃	1	1	yes	characteristic, complemented
259	#2056	C₂×C₁₃	1	1	yes	characteristic, complemented
260	#2043	C₂×C₁₃	1	1	yes	characteristic, complemented
261	#2016	C₂×C₁₃	1	1	yes	characteristic, complemented
262	#1981	C₂×C₁₃	1	1	yes	characteristic, complemented
263	#1928	C₂×C₁₃	1	1	yes	characteristic, complemented
264	#1878	C₂×C₁₃	1	1	yes	characteristic, complemented
265	#1872	C₂×C₁₃	1	1	yes	characteristic
266	#1850	C₂×C₁₃	1	1	yes	characteristic
267	C₂³×C₁₃	—	2	1	no	—
268	C₂³×C₁₃	—	2	1	no	—
269	C₂³×C₁₃	—	2	1	no	—
270	C₂³×C₁₃	—	2	1	no	—
271	C₂³×C₁₃	#121	1	2	yes	—
272	C₂³×C₁₃	C₂×Q₁₆	1	2	yes	—
273	C₂³×C₁₃	#137	1	2	yes	—
274	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
275	Q₈×C₁₃	—	2	2	no	—
276	Q₈×C₁₃	—	2	2	no	—
277	Q₈×C₁₃	—	2	2	no	—
278	Q₈×C₁₃	—	2	2	no	—
279	Q₈×C₁₃	—	2	2	no	—
280	Q₈×C₁₃	—	2	2	no	—
281	Q₈×C₁₃	—	4	8	no	—
282	Q₈×C₁₃	—	4	1	no	—
283	Q₈×C₁₃	—	4	1	no	—
284	Q₈×C₁₃	—	4	1	no	—
285	Q₈×C₁₃	—	4	1	no	—
286	Q₈×C₁₃	—	4	1	no	—
287	Q₈×C₁₃	—	4	1	no	—
288	Q₈×C₁₃	—	4	1	no	—
289	Q₈×C₁₃	—	4	1	no	—
290	Q₈×C₁₃	—	4	1	no	—
291	Q₈×C₁₃	—	4	1	no	—
292	C₂×C₄×C₁₃	—	2	1	no	—
293	C₂×C₄×C₁₃	—	2	1	no	—
294	C₂×C₄×C₁₃	—	2	1	no	—
295	C₂×C₄×C₁₃	—	2	1	no	—
296	C₂×C₄×C₁₃	—	2	1	no	—
297	C₂×C₄×C₁₃	—	2	1	no	—
298	C₂×C₄×C₁₃	—	2	2	no	—
299	C₂×C₄×C₁₃	—	2	2	no	—
300	C₂×C₄×C₁₃	—	2	2	no	—
301	C₂×C₄×C₁₃	—	2	2	no	—
302	C₂×C₄×C₁₃	—	2	2	no	—
303	C₂×C₄×C₁₃	—	2	2	no	—
304	C₂×C₄×C₁₃	—	2	1	no	—
305	C₂×C₄×C₁₃	—	2	2	no	—
306	C₂×C₄×C₁₃	—	2	2	no	—
307	C₂×C₄×C₁₃	—	2	1	no	—
308	C₂×C₄×C₁₃	—	2	2	no	—
309	C₂×C₄×C₁₃	—	2	1	no	—
310	C₂×C₄×C₁₃	—	2	1	no	—
311	C₂×C₄×C₁₃	—	2	1	no	—
312	C₂×C₄×C₁₃	—	2	1	no	—
313	C₂×C₄×C₁₃	—	4	8	no	—
314	C₂×C₄×C₁₃	—	4	1	no	—
315	C₂×C₄×C₁₃	—	4	1	no	—
316	C₂×C₄×C₁₃	—	4	1	no	—
317	C₂×C₄×C₁₃	—	4	1	no	—
318	C₂×C₄×C₁₃	—	4	1	no	—
319	C₂×C₄×C₁₃	—	4	1	no	—
320	C₂×C₄×C₁₃	—	4	1	no	—
321	C₂×C₄×C₁₃	—	4	1	no	—
322	C₂×C₄×C₁₃	—	4	1	no	—
323	C₂×C₄×C₁₃	—	4	1	no	—
324	C₂×C₄×C₁₃	—	4	1	no	—
325	C₂×C₄×C₁₃	—	4	1	no	—
326	C₂×C₄×C₁₃	—	4	1	no	—
327	C₂×C₄×C₁₃	—	4	1	no	—
328	C₂×C₄×C₁₃	—	4	1	no	—
329	C₂×C₄×C₁₃	—	4	1	no	—
330	C₂×C₄×C₁₃	—	4	1	no	—
331	C₂×C₄×C₁₃	—	4	1	no	—
332	C₂×C₄×C₁₃	—	4	1	no	—
333	C₂×C₄×C₁₃	—	8	4	no	—
334	C₂×C₄×C₁₃	#121	1	2	yes	—
335	C₂×C₄×C₁₃	C₂×Q₁₆	1	2	yes	—
336	C₂×C₄×C₁₃	C₂×Q₁₆	1	2	yes	—
337	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
338	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
339	C₂×C₄×C₁₃	C₂×#41	1	1	yes	characteristic
340	C₂×C₄×C₁₃	C₂×#41	1	1	yes	characteristic
341	C₂×C₄×C₁₃	H(5,𝔽₂)	1	1	yes	characteristic
342	C₂×C₄×C₁₃	H(5,𝔽₂)	1	1	yes	characteristic
343	C₈×C₁₃	—	2	2	no	—
344	C₈×C₁₃	—	4	1	no	—
345	C₈×C₁₃	—	4	1	no	—
346	C₈×C₁₃	—	4	1	no	—
347	C₂³×Q₈	C₂²×C₁₃	1	1	yes	characteristic
348	C₂²×Q₁₆	C₂²×C₁₃	1	1	yes	characteristic
349	C₂²×Q₁₆	C₂²×C₁₃	1	1	yes	characteristic
350	C₂²×Q₁₆	C₂²×C₁₃	1	1	yes	characteristic
351	C₂³×C₈	C₂²×C₁₃	1	1	yes	characteristic
352	C₂×C₄⋊Q₈	C₂²×C₁₃	1	1	yes	characteristic
353	C₂×C₄⋊Q₈	C₂²×C₁₃	1	1	yes	characteristic
354	C₂×C₂²⋊Q₈	C₂²×C₁₃	1	1	yes	characteristic
355	C₂×C₂²⋊Q₈	C₂²×C₁₃	1	1	yes	characteristic
356	C₂×C₄×Q₈	C₂²×C₁₃	1	1	yes	characteristic
357	C₂²×C₄⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
358	#467	—	2	4	no	—
359	#462	—	2	4	no	—
360	#451	—	2	4	no	—
361	C₂×#107	C₂²×C₁₃	1	1	yes	characteristic
362	C₂×C₄⋊C₈	C₂²×C₁₃	1	1	yes	characteristic
363	C₂×C₄⋊C₈	C₂²×C₁₃	1	1	yes	characteristic
364	C₂×#103	—	2	4	no	—
365	C₂×#103	C₂²×C₁₃	1	1	yes	characteristic
366	C₂×#103	C₂²×C₁₃	1	1	yes	characteristic
367	C₂×#103	C₂²×C₁₃	1	1	yes	characteristic
368	C₂×#103	C₂²×C₁₃	1	1	yes	characteristic
369	C₂×#103	C₂²×C₁₃	1	1	yes	characteristic
370	C₂×#103	C₂²×C₁₃	1	1	yes	characteristic
371	C₂×#103	C₂²×C₁₃	1	1	yes	characteristic
372	C₂×#103	C₂²×C₁₃	1	1	yes	characteristic
373	C₂×#103	C₂²×C₁₃	1	1	yes	characteristic
374	C₂×#103	C₂²×C₁₃	1	1	yes	characteristic
375	C₂×C₂²⋊C₈	C₂²×C₁₃	1	1	yes	characteristic
376	#395	—	2	1	no	—
377	#395	—	2	1	no	—
378	#391	C₂²×C₁₃	1	1	yes	characteristic
379	#391	C₂²×C₁₃	1	1	yes	characteristic
380	#391	C₂²×C₁₃	1	1	yes	characteristic
381	#389	—	2	1	no	—
382	#389	C₂²×C₁₃	1	1	yes	characteristic
383	#387	—	2	1	no	—
384	#385	—	2	1	no	—
385	#385	—	2	1	no	—
386	#385	—	2	1	no	—
387	C₄×C₄⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
388	C₄×C₂²⋊C₄	—	2	1	no	—
389	C₄×C₂²⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
390	#340	C₂²×C₁₃	1	1	yes	characteristic
391	#340	C₂²×C₁₃	1	1	yes	characteristic
392	#336	C₂²×C₁₃	1	1	yes	characteristic
393	#336	C₂²×C₁₃	1	1	yes	characteristic
394	C₂²×C₁₃	—	2	2	no	—
395	C₂²×C₁₃	—	2	2	no	—
396	C₂²×C₁₃	—	2	2	no	—
397	C₂²×C₁₃	—	2	2	no	—
398	C₂²×C₁₃	—	2	2	no	—
399	C₂²×C₁₃	—	2	2	no	—
400	C₂²×C₁₃	#462	1	4	yes	complemented
401	C₂²×C₁₃	C₂×#121	1	1	yes	characteristic
402	C₂²×C₁₃	D₄²	1	1	yes	characteristic
403	C₂²×C₁₃	#546	1	1	yes	characteristic
404	C₂²×C₁₃	C₂²×Q₁₆	1	1	yes	characteristic
405	C₂²×C₁₃	C₂×#137	1	1	yes	characteristic
406	C₂²×C₁₃	#577	1	1	yes	characteristic
407	C₂²×C₁₃	#578	1	1	yes	characteristic
408	C₄×C₁₃	—	2	2	no	—
409	C₄×C₁₃	—	2	2	no	—
410	C₄×C₁₃	—	2	2	no	—
411	C₄×C₁₃	—	4	2	no	—
412	C₄×C₁₃	—	4	2	no	—
413	C₄×C₁₃	—	4	2	no	—
414	C₄×C₁₃	—	4	1	no	—
415	C₄×C₁₃	—	4	2	no	—
416	C₄×C₁₃	—	4	2	no	—
417	C₄×C₁₃	—	4	1	no	—
418	C₄×C₁₃	—	8	1	no	—
419	C₄×C₁₃	—	8	1	no	—
420	C₄×C₁₃	—	8	1	no	—
421	C₄×C₁₃	#525	1	1	yes	characteristic
422	C₄×C₁₃	#538	1	1	yes	characteristic
423	C₄×C₁₃	D₄²	1	1	yes	characteristic
424	C₄×C₁₃	#546	1	1	yes	characteristic
425	C₂²×Q₈	—	2	1	no	—
426	C₂²×Q₈	—	2	2	no	—
427	C₂²×Q₈	—	2	2	no	—
428	C₂²×Q₈	—	2	2	no	—
429	C₂²×Q₈	—	2	2	no	—
430	C₂²×Q₈	—	4	1	no	—
431	C₂²×Q₈	—	4	1	no	—
432	C₂²×Q₈	C₂³×C₁₃	1	1	yes	characteristic
433	C₂²×Q₈	C₂³×C₁₃	1	1	yes	characteristic
434	C₂²×Q₈	C₂³×C₁₃	1	1	yes	characteristic
435	C₂²×Q₈	C₂³×C₁₃	1	1	yes	characteristic
436	C₂³×C₄	—	2	1	no	—
437	C₂³×C₄	—	2	1	no	—
438	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
439	C₂×Q₁₆	—	2	2	no	—
440	C₂×Q₁₆	—	2	2	no	—
441	C₂×Q₁₆	—	2	2	no	—
442	C₂×Q₁₆	—	2	2	no	—
443	C₂×Q₁₆	—	2	2	no	—
444	C₂×Q₁₆	—	2	2	no	—
445	C₂×Q₁₆	—	4	1	no	—
446	C₂×Q₁₆	—	4	1	no	—
447	C₂×Q₁₆	—	4	1	no	—
448	C₂²×C₈	—	2	2	no	—
449	C₂²×C₈	—	2	2	no	—
450	C₂²×C₈	—	4	1	no	—
451	C₂²×C₈	C₂³×C₁₃	1	1	yes	characteristic
452	C₂²×C₈	C₂³×C₁₃	1	1	yes	characteristic
453	C₂²×C₈	C₂³×C₁₃	1	1	yes	characteristic
454	C₂²×C₈	C₂³×C₁₃	1	1	yes	characteristic
455	C₄⋊Q₈	—	2	2	no	—
456	C₄⋊Q₈	—	2	2	no	—
457	C₄⋊Q₈	—	4	1	no	—
458	C₄⋊Q₈	—	4	1	no	—
459	C₂²⋊Q₈	—	2	2	no	—
460	C₂²⋊Q₈	—	2	2	no	—
461	C₂²⋊Q₈	—	2	2	no	—
462	C₂²⋊Q₈	D₄×C₁₃	1	4	yes	—
463	C₄×Q₈	—	2	2	no	—
464	C₄×Q₈	—	4	1	no	—
465	C₂×C₄⋊C₄	—	2	1	no	—
466	C₂×C₄⋊C₄	—	2	2	no	—
467	C₂×C₄⋊C₄	—	2	1	no	—
468	C₂×C₄⋊C₄	—	2	1	no	—
469	C₂×C₄⋊C₄	—	2	1	no	—
470	C₂×C₄⋊C₄	—	2	1	no	—
471	C₂×C₄⋊C₄	—	2	1	no	—
472	C₂×C₄⋊C₄	—	2	1	no	—
473	C₂×C₄⋊C₄	—	2	1	no	—
474	C₂×C₄⋊C₄	—	2	1	no	—
475	C₂×C₄⋊C₄	—	4	1	no	—
476	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
477	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
478	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
479	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
480	C₂×C₂²⋊C₄	—	2	1	no	—
481	C₂×C₂²⋊C₄	—	2	1	no	—
482	C₂×C₂²⋊C₄	D₄×C₁₃	1	1	yes	characteristic
483	C₂×C₂²⋊C₄	D₄×C₁₃	1	1	yes	characteristic
484	C₂×C₄²	—	2	1	no	—
485	C₂×C₄²	—	2	1	no	—
486	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
487	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
488	#107	—	2	2	no	—
489	C₄⋊C₈	—	2	2	no	—
490	C₄⋊C₈	—	4	1	no	—
491	#103	—	2	2	no	—
492	#103	—	2	2	no	—
493	#103	—	2	2	no	—
494	#103	—	2	2	no	—
495	#103	—	2	2	no	—
496	#103	—	2	2	no	—
497	#103	—	2	2	no	—
498	#103	—	2	2	no	—
499	#103	—	4	1	no	—
500	#103	D₄×C₁₃	1	4	yes	—
501	C₂²⋊C₈	—	2	2	no	—
502	#95	—	2	1	no	—
503	#95	—	2	1	no	—
504	#95	—	2	1	no	—
505	#95	—	2	1	no	—
506	#95	—	2	1	no	—
507	#95	—	2	1	no	—
508	#95	—	2	1	no	—
509	#95	—	2	1	no	—
510	#95	D₄×C₁₃	1	1	yes	characteristic
511	#95	D₄×C₁₃	1	1	yes	characteristic
512	C₂×C₁₃	—	2	4	no	—
513	C₂×C₁₃	#2424	1	1	yes	characteristic
514	C₂×C₁₃	C₂×#462	1	1	yes	characteristic
515	C₂×C₁₃	#3046	1	1	yes	characteristic
516	C₂×C₁₃	#3266	1	1	yes	characteristic
517	C₂×C₁₃	D₄×Q₁₆	1	1	yes	characteristic
518	C₂×C₁₃	#3299	1	1	yes	characteristic
519	C₂×C₁₃	#3312	1	1	yes	characteristic
520	C₂⁴	C₂×D₄×C₁₃	1	1	yes	characteristic
521	C₂×Q₈	—	2	1	no	—
522	C₂×Q₈	—	2	1	no	—
523	C₂×Q₈	—	2	1	no	—
524	C₂×Q₈	—	2	8	no	—
525	C₂×Q₈	—	2	1	no	—
526	C₂×Q₈	—	2	1	no	—
527	C₂×Q₈	—	2	1	no	—
528	C₂×Q₈	—	2	1	no	—
529	C₂×Q₈	—	2	1	no	—
530	C₂×Q₈	—	2	1	no	—
531	C₂×Q₈	—	2	1	no	—
532	C₂×Q₈	—	2	1	no	—
533	C₂×Q₈	—	2	1	no	—
534	C₂×Q₈	—	2	1	no	—
535	C₂×Q₈	—	2	1	no	—
536	C₂×Q₈	—	2	1	no	—
537	C₂×Q₈	—	2	1	no	—
538	C₂×Q₈	—	2	1	no	—
539	C₂×Q₈	—	2	1	no	—
540	C₂×Q₈	—	2	1	no	—
541	C₂×Q₈	—	2	1	no	—
542	C₂×Q₈	—	2	1	no	—
543	C₂×Q₈	—	4	2	no	—
544	C₂×Q₈	—	4	2	no	—
545	C₂×Q₈	—	4	4	no	—
546	C₂×Q₈	—	4	4	no	—
547	C₂×Q₈	—	4	4	no	—
548	C₂×Q₈	—	4	2	no	—
549	C₂×Q₈	C₂×D₄×C₁₃	1	2	yes	—
550	C₂×Q₈	C₂×D₄×C₁₃	1	2	yes	—
551	C₂×Q₈	C₁₃×#41	1	2	yes	—
552	C₂²×C₄	—	2	1	no	—
553	C₂²×C₄	—	2	1	no	—
554	C₂²×C₄	—	2	1	no	—
555	C₂²×C₄	—	2	1	no	—
556	C₂²×C₄	—	2	1	no	—
557	C₂²×C₄	—	2	1	no	—
558	C₂²×C₄	—	2	1	no	—
559	C₂²×C₄	—	2	1	no	—
560	C₂²×C₄	—	2	1	no	—
561	C₂²×C₄	—	2	1	no	—
562	C₂²×C₄	—	2	1	no	—
563	C₂²×C₄	—	2	1	no	—
564	C₂²×C₄	—	4	2	no	—
565	C₂²×C₄	—	4	2	no	—
566	C₂²×C₄	—	4	2	no	—
567	C₂²×C₄	—	4	2	no	—
568	C₂²×C₄	—	4	2	no	—
569	C₂²×C₄	—	8	1	no	—
570	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
571	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
572	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
573	C₂²×C₄	C₂×D₄×C₁₃	1	2	yes	—
574	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
575	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
576	C₂²×C₄	C₁₃×#41	1	2	yes	—
577	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
578	Q₁₆	—	4	4	no	—
579	Q₁₆	—	4	4	no	—
580	Q₁₆	—	4	4	no	—
581	C₂×C₈	—	2	1	no	—
582	C₂×C₈	—	2	1	no	—
583	C₂×C₈	—	2	1	no	—
584	C₂×C₈	—	2	1	no	—
585	C₂×C₈	—	2	1	no	—
586	C₂×C₈	—	2	1	no	—
587	C₂×C₈	—	2	1	no	—
588	C₂×C₈	—	2	1	no	—
589	C₂×C₈	—	2	1	no	—
590	C₂×C₈	—	2	1	no	—
591	C₂×C₈	—	2	1	no	—
592	C₂×C₈	—	4	4	no	—
593	C₂×C₈	C₂×D₄×C₁₃	1	2	yes	—
594	C₄⋊C₄	—	2	4	no	—
595	C₄⋊C₄	—	2	1	no	—
596	C₄⋊C₄	—	2	1	no	—
597	C₄⋊C₄	—	2	1	no	—
598	C₄⋊C₄	—	2	1	no	—
599	C₄⋊C₄	—	2	1	no	—
600	C₄⋊C₄	—	2	1	no	—
601	C₄⋊C₄	—	4	2	no	—
602	C₄⋊C₄	—	4	2	no	—
603	C₄⋊C₄	—	4	2	no	—
604	C₄⋊C₄	—	4	2	no	—
605	C₄⋊C₄	—	4	2	no	—
606	C₄⋊C₄	—	4	2	no	—
607	C₄⋊C₄	—	4	2	no	—
608	C₄⋊C₄	—	8	1	no	—
609	C₄⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
610	C₄⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
611	C₂²⋊C₄	—	2	4	no	—
612	C₂²⋊C₄	—	2	2	no	—
613	C₂²⋊C₄	—	4	2	no	—
614	C₂²⋊C₄	C₁₃×Q₁₆	1	4	yes	complemented
615	C₄²	—	2	1	no	—
616	C₄²	—	2	1	no	—
617	C₄²	—	2	1	no	—
618	C₄²	—	2	1	no	—
619	C₄²	—	4	2	no	—
620	C₄²	—	8	1	no	—
621	C₁₃	#25082	1	1	yes	characteristic, direct product factor, Sylow
622	C₂³	—	2	1	no	—
623	C₂³	—	2	1	no	—
624	C₂³	—	2	1	no	—
625	C₂³	—	2	1	no	—
626	C₂³	C₁₃×#121	1	2	yes	—
627	C₂³	C₂×C₁₃×Q₁₆	1	2	yes	—
628	C₂³	C₁₃×#137	1	2	yes	—
629	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
630	Q₈	—	2	2	no	—
631	Q₈	—	2	2	no	—
632	Q₈	—	2	2	no	—
633	Q₈	—	2	2	no	—
634	Q₈	—	2	2	no	—
635	Q₈	—	2	2	no	—
636	Q₈	—	4	8	no	—
637	Q₈	—	4	1	no	—
638	Q₈	—	4	1	no	—
639	Q₈	—	4	1	no	—
640	Q₈	—	4	1	no	—
641	Q₈	—	4	1	no	—
642	Q₈	—	4	1	no	—
643	Q₈	—	4	1	no	—
644	Q₈	—	4	1	no	—
645	Q₈	—	4	1	no	—
646	Q₈	—	4	1	no	—
647	C₂×C₄	—	2	1	no	—
648	C₂×C₄	—	2	1	no	—
649	C₂×C₄	—	2	1	no	—
650	C₂×C₄	—	2	1	no	—
651	C₂×C₄	—	2	1	no	—
652	C₂×C₄	—	2	1	no	—
653	C₂×C₄	—	2	2	no	—
654	C₂×C₄	—	2	2	no	—
655	C₂×C₄	—	2	2	no	—
656	C₂×C₄	—	2	2	no	—
657	C₂×C₄	—	2	2	no	—
658	C₂×C₄	—	2	2	no	—
659	C₂×C₄	—	2	1	no	—
660	C₂×C₄	—	2	2	no	—
661	C₂×C₄	—	2	2	no	—
662	C₂×C₄	—	2	1	no	—
663	C₂×C₄	—	2	2	no	—
664	C₂×C₄	—	2	1	no	—
665	C₂×C₄	—	2	1	no	—
666	C₂×C₄	—	2	1	no	—
667	C₂×C₄	—	2	1	no	—
668	C₂×C₄	—	4	8	no	—
669	C₂×C₄	—	4	1	no	—
670	C₂×C₄	—	4	1	no	—
671	C₂×C₄	—	4	1	no	—
672	C₂×C₄	—	4	1	no	—
673	C₂×C₄	—	4	1	no	—
674	C₂×C₄	—	4	1	no	—
675	C₂×C₄	—	4	1	no	—
676	C₂×C₄	—	4	1	no	—
677	C₂×C₄	—	4	1	no	—
678	C₂×C₄	—	4	1	no	—
679	C₂×C₄	—	4	1	no	—
680	C₂×C₄	—	4	1	no	—
681	C₂×C₄	—	4	1	no	—
682	C₂×C₄	—	4	1	no	—
683	C₂×C₄	—	4	1	no	—
684	C₂×C₄	—	4	1	no	—
685	C₂×C₄	—	4	1	no	—
686	C₂×C₄	—	4	1	no	—
687	C₂×C₄	—	4	1	no	—
688	C₂×C₄	—	8	4	no	—
689	C₂×C₄	C₁₃×#121	1	2	yes	—
690	C₂×C₄	C₂×C₁₃×Q₁₆	1	2	yes	—
691	C₂×C₄	C₂×C₁₃×Q₁₆	1	2	yes	—
692	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
693	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
694	C₂×C₄	C₂×C₁₃×#41	1	1	yes	characteristic
695	C₂×C₄	C₂×C₁₃×#41	1	1	yes	characteristic
696	C₂×C₄	C₁₃×H(5,𝔽₂)	1	1	yes	characteristic
697	C₂×C₄	C₁₃×H(5,𝔽₂)	1	1	yes	characteristic
698	C₈	—	2	2	no	—
699	C₈	—	4	1	no	—
700	C₈	—	4	1	no	—
701	C₈	—	4	1	no	—
702	C₂²	—	2	2	no	—
703	C₂²	—	2	2	no	—
704	C₂²	—	2	2	no	—
705	C₂²	—	2	2	no	—
706	C₂²	—	2	2	no	—
707	C₂²	—	2	2	no	—
708	C₂²	C₁₃×#462	1	4	yes	complemented
709	C₂²	C₂×C₁₃×#121	1	1	yes	characteristic
710	C₂²	D₄²×C₁₃	1	1	yes	characteristic
711	C₂²	C₁₃×#546	1	1	yes	characteristic
712	C₂²	C₂²×C₁₃×Q₁₆	1	1	yes	characteristic
713	C₂²	C₂×C₁₃×#137	1	1	yes	characteristic
714	C₂²	C₁₃×#577	1	1	yes	characteristic
715	C₂²	C₁₃×#578	1	1	yes	characteristic
716	C₄	—	2	2	no	—
717	C₄	—	2	2	no	—
718	C₄	—	2	2	no	—
719	C₄	—	4	1	no	—
720	C₄	—	4	2	no	—
721	C₄	—	4	2	no	—
722	C₄	—	4	1	no	—
723	C₄	—	4	2	no	—
724	C₄	—	4	2	no	—
725	C₄	—	4	2	no	—
726	C₄	—	8	1	no	—
727	C₄	—	8	1	no	—
728	C₄	—	8	1	no	—
729	C₄	C₁₃×#525	1	1	yes	characteristic
730	C₄	C₁₃×#538	1	1	yes	characteristic
731	C₄	D₄²×C₁₃	1	1	yes	characteristic
732	C₄	C₁₃×#546	1	1	yes	characteristic
733	C₂	—	2	4	no	—
734	C₂	C₁₃×#2424	1	1	yes	characteristic
735	C₂	C₂×C₁₃×#462	1	1	yes	characteristic
736	C₂	C₁₃×#3046	1	1	yes	characteristic
737	C₂	C₁₃×#3266	1	1	yes	characteristic
738	C₂	D₄×C₁₃×Q₁₆	1	1	yes	characteristic
739	C₂	C₁₃×#3299	1	1	yes	characteristic
740	C₂	C₁₃×#3312	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂³×C₁₃	C₂²×D₄
commutator, Frattini, cosocle	C₂²×C₄	C₂⁴×C₁₃
prime radical	C₂⁴×C₁₃	C₂×D₄
LCS	G ▷ C₂²×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂³×C₁₃ ◁ C₄×C₁₃×C₂²⋊C₄ ◁ G

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

N	H ≅ G/N	type
2. C₂×C₁₃×#462	C₂	semidirect
7. C₁₃×#2068	C₂	semidirect
8. C₁₃×#2056	C₂	semidirect
9. C₁₃×#2043	C₂	semidirect
10. C₁₃×#2016	C₂	semidirect
11. C₁₃×#1981	C₂	semidirect
12. C₁₃×#1928	C₂	semidirect
13. C₁₃×#1878	C₂	semidirect
150. #25082	C₁₃	direct (N × H)
245. C₁₃×C₂²⋊C₄	Q₁₆	semidirect
253. C₂×#462	C₂×C₁₃	semidirect
258. #2068	C₂×C₁₃	semidirect
259. #2056	C₂×C₁₃	semidirect
260. #2043	C₂×C₁₃	semidirect
261. #2016	C₂×C₁₃	semidirect
262. #1981	C₂×C₁₃	semidirect
263. #1928	C₂×C₁₃	semidirect
264. #1878	C₂×C₁₃	semidirect
400. C₂²×C₁₃	#462	semidirect
614. C₂²⋊C₄	C₁₃×Q₁₆	semidirect
621. C₁₃	#25082	direct (N × H)
708. C₂²	C₁₃×#462	semidirect

Maximal subgroups

By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.

subgroup	index
C₂×C₁₃×#467	2
C₂×C₁₃×#462	2
C₂×C₁₃×#451	2
C₂²×C₁₃×#103	2
C₁₃×#2434	2
C₁₃×#2360	2
C₁₃×#2068	2
C₁₃×#2056	2
C₁₃×#2043	2
C₁₃×#2016	2
C₁₃×#1981	2
C₁₃×#1928	2
C₁₃×#1878	2
C₁₃×#1872	2
C₁₃×#1850	2
#25082	13

Subgroups — C13×#25082 #15711421

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₃×#25082 #15711421